Question
A grocery store wants to make a mixture of nuts consisting of cashews and pecans. The cashews sell for $4 per pound while the pecans sell for $10 a pound. How many pounds of each nut must be mixed to produce a 6 pound mixture that sells for $8 per pound.
Answers
total cost is
4c + 10(6-c) = 8*6
4c + 60 - 10c = 48
6c = 12
c = 2
so p = 4
Note that $8 is 2/3 of the way from $4 to $10, and so p is 2/3 of the final mix.
4c + 10(6-c) = 8*6
4c + 60 - 10c = 48
6c = 12
c = 2
so p = 4
Note that $8 is 2/3 of the way from $4 to $10, and so p is 2/3 of the final mix.
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